Find the average rate of change of the function f(x) = 8x from x₁ = 0 to X₂ = 3.

Answers

Answer 1

Answer:

Step-by-step explanation:

average rate = f(3) - f(0) / 3 - 0 = 24 - 0 / 3 - 0 = 24 / 3 = 8


Related Questions

help me if you can please

Answers

Answer:

f(0) = 5, f(7) = 1328, f(-5) = -460

Step-by-step explanation:

[tex]f(x) = 4x^3 - 7x + 5[/tex]

We should substitute the values in the brackets into the equation to find the function's value at that x point.

[tex]f(0) = 4(0)^3 - 7(0) + 5\\\to f(0) = 5[/tex]

[tex]f(7) = 4(7)^3 - 7 \times 7 + 5\\\to f(7) = 4 \times 343 - 49 + 5\\\to f(7) = 1328[/tex]

[tex]f(-5) = 4(-5)^3 - 7(-5) + 5\\\to f(-5) = 4 \times -125 + 35 + 5\\\to f(-5) = -460[/tex]

Factorize: a+2-15a^2​

Answers

Answer:   -1(5a-2)(3a+1)

Step-by-step explanation:

Answer:

-(5a-2)(3a+1)

Step-by-step explanation:

7.
Peter's credit card payment is $75 per month.
He paid an annual fee of $45 per year.
He also paid $17 in fees the first year and $35 in fees the second year.
What is the total amount Peter paid during the 2 years?
A $997
B. $1,597
C. $1,852
D. $1,942

Answers

Answer:

997

Step-by-step explanation:

75×12=900

900+45+35+17=997

Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the most accurate rate of speed Morris is traveling?

Answers

answer:48 miles per hour

Is x=0 if x is greater than negative infinity but lesser than infinity?

Answers

yes it would make sense

More of this.. of course
anyways only answer if you are sure

Answers

Answer:

41.6

Step-by-step explanation:

You have a duplicate question. Explanation is there. Hope it helps!

All work is shown in the screenshot that is provided! :)


An elephant can drink up to 6,400 fluid
ounces of water a day. How many gallons of
water can an elephant drink per day?

Answers

Answer: They require 18 to 26 gal of water. But they may also consume 40 gal

Step-by-step explanation:

wall has an
area
tim
9 123m2
of faint will couet 14 m²
Hattie needs to work out how
of paints will need to
many
use
A
A
المعلن
tin's
buy.
estimation to work out how many ting
needs.

Answers

Shehdhdhdhrhehhwuwud

What is the interval notation for
{x: −4 ≤ x < 9}?

Answers

Answer:

Step-by-step explanation:

(x-4,9)

Adu can type 250wards in 5 minutes.How long does he take to type 900wards​

Answers

Answer: 18 minutes

Step-by-step explanation:

900 divided by 250 = 3.6

3.6 times 5 = 18 minutes.

Answer:

18 minutes

Step-by-step explanation:

rate =   250 w / 5 min

900 w / rate =   time   = 900 w / (250 w/ 5min) = 18 minutes

what is the effect on the graph of f(x)=1/x when it is trandformed to g(x)=1/x - 7

Answers

When f(x) = 1/x is converted to g(x) = 1/x - 7, the impact that this has on the graph of f(x) is that the graph of f(x) is moved down by seven units.

What is a Graph?

The connection that exists between lines and points in a network may be described using a graph, which is a mathematical description of a network.

g(x)=1/x - 7

f(x)= 1/x

There is a negative seven when the change occurs.

As a result, the graph of f(x) is moved 7 units below.

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What is −10 + |−4| − |−12|?

−6
−12
−18
−22

Answers

Answer:

c= -18 is your answer

PLEASE HELPPPP

In a particular year, a total of 60,831 students studied in two of the most popular host countries when traveling abroad. If 5981 more students studied in the most popular host country than in the
second most popular host country, find how many students studied abroad in each country.

There were …..
students who studied abroad in the most popular host country.

Answers

Answer:

66812

Step-by-step explanation:

60831+5981=66812

A school event requires at least 2 parents for every 5 kids. How many parents for 60 kids?

Answers

Answer: 24

Step-by-step explanation:

60/5= 12

12(kids) times 2(parents)= 24 parents for 60 kids

Determine which integer will make the inequality 3(n + 1) > 5(n − 3) true.

A: S:{9}
B: S:{0}
C: S:{15}
D: S:{18}

Answers

n < 9 makes the inequality 3(n + 1) > 5(n − 3) true.

Hence, option A) S:{ 9 } is the correct answer.

What integer will make the given inequality true?

Given the inequality in the question

3(n + 1) > 5(n − 3)

To determine the integer will make the inequality true, we simply solve for n.

3(n + 1) > 5(n − 3)

Remove the parenthesis using distributive property

3×n + 3×1 > 5×n + 5×−3

3n + 3 > 5n - 15

Collect like terms

3n + 3 > 5n - 15

3n - 5n > - 15 - 3

-2n > - 18

Divide both sides by -2.

Note that; when dividing or multiplying both sides of an inequality by a negative value, the inequality sign flips to the opposite direction.

-2n/-2 < -18/-2

n < 9

n < 9 makes the inequality 3(n + 1) > 5(n − 3) true.

Hence, option A) S:{ 9 } is the correct answer.

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Answer:

a) S:{9}

Step-by-step explanation:

Given equation,

→ 3(n + 1) > 5(n - 3)

Now the value of n will be,

→ 3(n + 1) > 5(n - 3)

→ 3n + 3 > 5n - 15

→ 3n - 5n > -15 - 3

→ -2n > -18

→ n < (-18)/(-2)

→ n < 18/2

→ [ n < 9 ]

Hence, the value of n is 9.

. If C lies between A and B on AB, then AC + CB = AB. What can you logically conclude about AB?

Answers

Answer: AB is twice the size of AC and twice the size of CB

Step-by-step explanation: "Lies between" means that it's in the middle. C is in the middle of A and B. A to C would be the same distance of C to B because C seperates the segments into 2 equal halves. AB is the whole segment including C, you could do AC + AC if you substituted it for the lengths and you would still get AB

6.2 HELPPPPPPPP!!!!!!!!!!!!!!!!!!!!
Graph the image of the figure using the transformation given.
Captionless Image
LAST 3 PICS ARE THE OPTIONS

Answers

Answer: It's the third answer choice.

Step-by-step explanation:

It is the only one that LOOKS like it's reflected over the y-axis (i check the math as well)

The sum of three consecutive integers is 171. What are the integers?

Answers

Answer:

56, 57, 58

Step-by-step explanation:

The sum of three consecutive integers is 171. What are the integers?

(171 - 3) : 3 =

168 : 3 = 56

56 + 1 = 57

57 + 1 = 58

-------------------

56 + 57 + 58 = 171

the answer is good

which statements are true

Answers

A&B&E the answer iss

In the lab, Miguel has two solutions that contain alcohol and is mixing them with each other. He uses twice as much Solution A as Solution B. Solution A is 12% alcohol and Solution B is 16% alcohol. How many milliliters of Solution B does he use, if the resulting mixture has 120 milliliters of pure alcohol? Number of milliliters of Solution B: X Ś​

Answers

Miguel uses 300 mL Solution B and 600 mL Solution A.

What is termed as the percentages?A percentage is a relative value that symbolizes the hundredth part of any quantity.One percent (symbolized 1%) is one hundredth part; thereby, 100 percent symbolizes the entire amount as well as 200 percent clarifies twice the given amount.

Let x represent the amount of Solution B used.

2x = the quantity of Solution A used.

Solution A is alcohol = 12%.

Solution B is alcohol = 16%.

Given that 12% = 0.12 and 16% = 0.16, we can calculate the following equation:

2x(0.12) + x(0.16) = 120 (Recall that pure alcohol has a concentration of 100% = 1.00.)

0.24x + 0.16x = 120

0.40x = 120

x = 300 mL

Thus, Miguel  makes use of 300 mL of Solution B and 2(300) = 600 mL of Solution A.

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Does the graph show the relationship is a proportional
relationship? Does the relationship have a constant of
proportionality? Justify your answer using any two points
from the table,

Answers

The linear relation is:

y = x + 2

This is not a proportional relationship, as the y-intercept is different than zero, and then, it does not have a constant of proportionality.

What can we conclude about the given relationship?

The relationship clearly shows a linear relation, so we can get the slope if we use the first two points (2, 4) and (4, 6). The slope is:

s = (6 -4)/(4 - 2) = 1

Then the linear relation is of the form:

y = 1*x + b

To find the value of b we replace the values of the first point:

4 = 1*2 + b

4 - 2  =b

2 = b

The linear relation is:

y = x + 2

This is not a proportional relationship, as the y-intercept is different than zero, and then, it does not have a constant of proportionality.

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Answer:

No, because it doesn't go through zero

Step-by-step explanation:


Which value of n makes the following equation true?
√n=4

Answers

Answer:

n = 16

Step-by-step explanation:

The equation is,

→ √n = 4

Solving for the value of n,

→ √n = 4

→ n = 4²

→ [ n = 16 ]

Hence, the value of n is 16.

Mark decided to make Christmas presents for his classmates. He bought 10 lb of two types of candies: caramel candies for $2.80 per pound and chocolate candies for $3.50 per pound.

Write a function f(x) that represents the total cost of the candy, where x is the weight of the less expensive candy.

Answers

Total cost of the candy is represented by the function f (x) is;

⇒ f (x) = $2.80x + $3.50y

Where, x is the weight of the less expensive candy (caramel candy)

and, y is the weight of chocolate candies.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Mark bought 10 lb of two types of candies to make Christmas present for his classmates.

Let x is the weight of the less expensive candy (caramel candy).

And, y is the weight of chocolate candies.

Now, The cost of caramel candies = $2.80x

And, The cost of chocolate candies = $3.50y

Hence, Total cost of the candy = $2.80x + $3.50y

Therefore, Total cost of the candy is represented by the function f (x) is;

⇒ f (x) = $2.80x + $3.50y

Where, x is the weight of the less expensive candy (caramel candy)

and, y is the weight of chocolate candies.

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Based on the two data sets given below, which of the following statements are true? Select two that apply. Data Set 1: 5, 5, 6, 6, 7, 7 Data Set 2: 1, 3, 5, 7, 9, 11 A. Data Set 2 has a larger mean than Data Set 1. B. Data Set 2 has the same mean as Data Set 1. C. Data Set 2 has a larger standard deviation than Data Set 1. D. Data Set 2 has a smaller standard deviation than Data Set 1.

Answers

Answer:

Data Set 2 has the same mean as Data Set 1.

and

Data Set 2 has a larger standard deviation than Data Set 1

Step-by-step explanation:

Mean of both data sets is the same = 6

Data set 2 has a larger standard deviation since the data values are further away from the mean than the data values in data set 1 are from the mean and standard deviation is a measure of variance i.e. how far data set values are from the mean

PLEASE HELP ANSWERING THIS QUESTION QUICKLY! THIS QUESTION IS SO CONFUSED!

Based on the graph above, estimate to one decimal place the average rate of change from x=1 to x=3 (Blank).

Explain!

Thanks!

Answers

The average rate of change from x=1 to x=3 is -1

How to find the average rate of change from x=1 to x=3?

On the given graph, we have the following function values

f(1) = 6

f(3) = 4

The average rate of change from x=1 to x=3 is then calculated as

Rate = [f(3) - f(1)]/[3 - 1]

This gives

Rate = [4 - 6]/[3 - 1]

Evaluate

Rate = -1

Hence, the average rate of change from x=1 to x=3 is -1

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WILL GIVE BRAINIST.
1. The soccer team is making pizzas for a fundraiser. They put1/4 of a pound of cheese on each pizza. If they have 12 one-pound packages of cheese, how many pizzas can they make? pizzas ?
2. Dan purchased 3 ½ yards of mulch for his garden. Mulch costs $25 a yard. How much did Dan pay for his mulch? $


3. Mr. Hamilton owns 2 ¾ acres of land. He plans to buy 1 and 1/3 more acres. How many acres will he own? Write your answer as an improper fraction. acres

Answers

1. If 1/4 of a pound of cheese can go on one pizza, that means one pound of cheese makes 4 pizzas. 12 pounds of cheese x 4 pizzas per pound of cheese = 48 total pizzas

2. $25 per yard and there’s 3.5 yards, 25 x 3.5 = $87.50 spent on mulch

3. 2.75 as an improper fraction is 11/4 and 1.66 is 4/3, to get the same denominator you multiply one by 3 and the other by 4 and get 33/12 and 16/12, (33/12)+(16/12)=49/12 acres

I need help with 4 and 5

Answers

4. The two triangles are similar by virtue of the AAA triangle congruence theorem as a result of the corresponding angles which have equal measures.

5. The length of segment CE to the nearest tenth is; 46.7 in.

What is the length of segment CE as required in the task content?

4. The ∆CBD and ∆CAE are similar (congruent) following the fact that angle C is common to both triangles and the angles A and E have equal measures as E and D respectively by virtue of corresponding angles theorem. Ultimately, the two triangles; ∆CBD and ∆CAE are congruent since all three angle measures are the same in the triangles.

The corresponding angles in discuss is due to the fact that the lines ED and AE are parallel lines.

5. Also, upon establishing the congruence of the two triangles, it follows that the ratio of their corresponding sides is same for all three sides.

Therefore, we can establish that;

BD/AE = CD/CE

6/14 = 20/CE

CE = (14 × 20)/6

CE = 140/3

CE = 46.667 in.

Ultimately, the length of segment CE to the nearest tenth is; 46.7 in.

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How many solutions are the answer of this problem? 9x-7=3(3x+2)

Answers

The number of solutions in the equation 9x - 7 = 3(3x + 2) is 0

How to determine the number of solutions in the equation?

The equation is given as

9x - 7 = 3(3x + 2)

Open the bracket in the above equation

So, we have

9x - 7 = 9x + 14

Subtract 9x from both sides of the equation

So, we have

-7 = 14

The above equation is false

Hence, the number of solutions in the equation is 0

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A parcel of land measures 4 x 105 acres. If the parcel is divided into
five equally sized parts, how many acres is each part?

Answers

Answer: the answer would be 0.8 x 21 acres of land

Step-by-step explanation:hope it helps, brainliest? i could really use it

What is the probability of X=4?
Image above.

Answers

Answer:

0.30

Step-by-step explanation:

sum of all probabilities is 1

so:

p(x=4) = 1 - ( 0.01 + 0.04 + 0.10 + 0.12 + 0.30 + 0.11 + 0.01 +0.01)

= 1 - 0.70

= 0.30

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